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arXiv · 1612.06048

Simplicities of VOAs Associated to Jordan Algebras of Type $B$ and Character Formulas for Simple Quotients

Hongbo Zhao
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Abstract

In ths paper we study the VOA $V_{\mathcal{J},r}$ constructed by Ashihara and Miyamoto, We construct simple quotients of $V_{\mathcal{J},r},r\in\mathbb{Z}_{\neq 0}$ explicitly using dual-pair type constructions. We also compute the character formula of the simple quotients when $r=-2n,n\geq 1$.

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Hongbo Zhao. 2016-12-19. Simplicities of VOAs Associated to Jordan Algebras of Type $B$ and Character Formulas for Simple Quotients. https://arxiv.org/abs/1612.06048

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